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Finding the Third Proportional to 82,809 and 124,821

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Solution

The third proportional to 82,809 and 124,821 is: 188,147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,809 : 124,821 = 124,821 : x
  2. Step 2: Convert to fraction form
    82,809/124,821 = 124,821/x
  3. Step 3: Cross multiply
    82,809x = 124,821 × 124,821
  4. Step 4: Simplify right side
    82,809x = 15,580,282,041
  5. Step 5: Solve for x
    x = 15,580,282,041/82,809
  6. Step 6: Final answer
    x = 188,147.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.